The 3 parts of the name, "exo", "im" and "ah", mean \(10^{18}\), \(I(\alpha,0)\)-cardinals and the function collapsing \(\alpha\)-weakly inaccessible cardinals \(\psi_{I(0,0)}\) respectively, which form \(\psi_{I(0,0)}(I(10^{18},0))\) when concatenated backwards (where "exo" and "im" form \(I(10^{18},0)\) - the first \(10^{18}\)-weakly inaccessible cardinal). So the full name indicates the ordinal index of the number.